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Finding the Third Proportional to 122,258 and 185,885

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Solution

The third proportional to 122,258 and 185,885 is: 282,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,258 : 185,885 = 185,885 : x
  2. Step 2: Convert to fraction form
    122,258/185,885 = 185,885/x
  3. Step 3: Cross multiply
    122,258x = 185,885 × 185,885
  4. Step 4: Simplify right side
    122,258x = 34,553,233,225
  5. Step 5: Solve for x
    x = 34,553,233,225/122,258
  6. Step 6: Final answer
    x = 282,625.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.